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Some annihilating particle systemsBalding, D. J. January 1989 (has links)
No description available.
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Modelling of diffusion processes in gases, polymers and multilayered solidsWhitaker, Gary January 1990 (has links)
No description available.
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On the core problem of two-dimensional Gray-Scott model.January 2012 (has links)
在这篇论文中,我们考虑二维中的Gray-Scott 模型核心问题的解: / [ 附圖]. / 对于足够小的ε,我们会构造一个“多个凸 的解。这些解的“凸 会分布在一个正多边形的顶点上。在这个解的U 方向上,经过一个合适的放缩之后,它会看起来像下列方程的唯一对称解: / [ 附圖]. / 此外,我们同时也会构造单个“凸 和两个“凸 的解。 / In this thesis, we consider solutions to the core problem for Gray-Scott model in R²: / [With mathematic formula]. / We construct multi-bump solutions for this problem for all sufficiently small ε. The centers of these bumps are located at the vertices of a regular polygon, andthey resemble, after a suitable scaling in their U-coordinate, the unique radial solution of / [With mathematic formula]. / The solutions with one single bump and two bumps are also constructed. / Detailed summary in vernacular field only. / Detailed summary in vernacular field only. / Detailed summary in vernacular field only. / Detailed summary in vernacular field only. / Detailed summary in vernacular field only. / Yip, Chit Ming. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2012. / Includes bibliographical references (leaves 45-46). / Abstracts also in Chinese. / Chapter 1 --- Introduction: Derivation of the Core Problem --- p.6 / Chapter 2 --- One-dimensional core problem --- p.12 / Chapter 3 --- Main results on two-dimensional core problem --- p.19 / Chapter 4 --- Proof of Theorem 3.1 --- p.22 / Chapter 4.1 --- Estimate for S₁({U+03A6}) --- p.24 / Chapter 4.2 --- Estimate for N₁({U+03A6}) --- p.25 / Chapter 4.3 --- Estimate for S₁({U+03A6}₁) - S₁({U+03A6}₂) --- p.26 / Chapter 4.4 --- Estimate for N₁({U+03A6}₁) - N₁({U+03A6}₂) --- p.26 / Chapter 5 --- Proof of Theorem 3.2 --- p.29 / Chapter 5.1 --- Estimate for S₂({U+03A6}) --- p.33 / Chapter 5.2 --- Estimate for N₂({U+03A6}) --- p.34 / Chapter 5.3 --- Estimate for S₂({U+03A6}₁) - S₂({U+03A6}₂) --- p.34 / Chapter 5.4 --- Estimate for N₂({U+03A6}₁) - N₂({U+03A6}₂) --- p.35 / Chapter 5.5 --- The reduced problem --- p.35 / Chapter 6 --- Proof of Theorem 3.3 --- p.40 / Chapter 6.1 --- Invariance under permutations --- p.41 / Chapter 6.2 --- Reducing number of equations for regular polygons --- p.42 / Bibliography --- p.45
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Pseudo-spectral and path-following techniques with applications to problems in biology and the gasification of coalDuncan, Kirsteen January 1988 (has links)
No description available.
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Multiplicity and stability of two-dimensional reaction-diffusion equationsQu, Lei., 瞿磊. January 2001 (has links)
published_or_final_version / Mechanical Engineering / Master / Master of Philosophy
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Reaction-diffusion systems on domains with thin channelsFilho, Sergio Muniz Oliva 12 1900 (has links)
No description available.
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Non-equilibrium dynamics of reaction-diffusion systemsHoward, Martin January 1996 (has links)
Fluctuations are known to radically alter the behaviour of reaction-diffusion systems. Below a certain upper critical dimension d<sub>c</sub> , this effect results in the breakdown of traditional approaches, such as mean field rate equations. In this thesis we tackle this fluctuation problem by employing systematic field theoretic/renormalisation group methods, which enable perturbative calculations to be made below d<sub>c</sub>. We first consider a steady state reaction front formed in the two species irreversible reaction A + B → Ø. In one dimension we demonstrate that there are two components to the front - one an intrinsic width, and one caused by the ability of the centre of the front to wander. We make theoretical predictions for the shapes of these components, which are found to be in good agreement with our one dimensional simulations. In higher dimensions, where the intrinsic component dominates, we also make calculations for its asymptotic profile. Furthermore, fluctuation effects lead to a prediction of asymptotic power law tails in the intrinsic front in all dimensions. This effect causes high enough order spatial moments of a time dependent reaction front to exhibit multiscaling. The second system we consider is a time dependent multispecies reaction-diffusion system with three competing reactions A+A → Ø, B + B → Ø, and A + B → Ø, starting with homogeneous initial conditions. Using our field theoretic formalism we calculate the asymptotic density decay rates for the two species for d ≤ d<sub>c</sub>. These calculations are compared with other approximate methods, such as the Smoluchowski approach, and also with previous simulations and exact results.
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Predator-prey, competition and co-operation systems with mixed boundary conditionsMahmoud, Mostafa Maher Sayed January 1989 (has links)
No description available.
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Reaction-diffusion fronts in inhomogeneous mediaNolen, James Hilton, January 1900 (has links) (PDF)
Thesis (Ph. D.)--University of Texas at Austin, 2006. / Vita. Includes bibliographical references.
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Reaction-diffusion fronts in inhomogeneous mediaNolen, James Hilton 28 August 2008 (has links)
Not available / text
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